345253 divided by 41 
Our goal is to divide 345253 by 41.

Advancing to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 41

Let's proceed to step 2:
If we divide 34 by 41, we get 0 and a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (5) from the dividend after 34, then repeat: 345 / 41

Let's proceed to step 3:
41 goes into 345 8 times with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 328 from 345 leaves us with 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 41

Moving on to step 4:
41 can be fit into 172 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
If we subtract 164 from 172, we get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 41

Going ahead to step 5:
When dividing 85 by 41, we get 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 842.0
If we subtract 82 from 85, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 41

Going ahead to step 6:
When dividing 33 by 41, we get 0 with a remainder of 33.
Write down 0 as next digit of the result. 
Result so far: 8420.0
The remainder is 33 after subtracting 0 from 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
41 can be fit into 330 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8420.8
The remainder is 2 after subtracting 328 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 41 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 8420.8
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
The number 41 fits into 200 4 times, leaving a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 8420.804
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 8420.8048
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
If we divide 320 by 41, we get 7 and a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 8420.80487
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 12:
The number 41 fits into 330 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8420.804878
If we take 328 away from 330, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
41 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 8420.804878
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 14:
If we divide 200 by 41, we get 4 and a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 8420.80487804
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 8420.80487804 with a remainder of 3.6e-08.